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Popular >

(dy)/(dx)=y(x^2+1)

Solution

\frac{d y}{d x} = y (x^{2} + 1)

Solution

y = e^{\frac{x ^{3}}{3} + x + c_{1}}

Solution steps

\frac{d y}{d x} = y (x^{2} + 1)

Solve separable ODE:

y = e^{\frac{x ^{3}}{3} + x + c_{1}}

y = e^{\frac{x ^{3}}{3} + x + c_{1}}

Popular Examples

(dy)/(dx)=xy+4x

\frac{d y}{d x} = x y + 4 x

f^'(x)=(2x)/((2x-1))f(x)

f^{^{'}} (x) = \frac{2 x}{( 2 x - 1 )} f (x)

(dy)/(dx)=yx^2-1.2y

\frac{d y}{d x} = y x^{2} - 1.2 y

y=y^'*(t^2-14t+40)

y = y^{^{'}} \cdot (t^{2} - 14 t + 40)

(dy}{dx}=\frac{x^2)/y ,y=2

\frac{d y}{d x} = \frac{x ^{2}}{y}, y = 2

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=y(x^2+1) ?
The solution for (dy)/(dx)=y(x^2+1) is y=e^{(x^3)/3+x+c_{1}}